Recovery of the Nonlinearity from the Modified Scattering Map

Author

Gong Chen
Jason Murphy, Missouri University of Science and TechnologyFollow

Abstract

We Consider a Class of One-Dimensional Nonlinear Schrödinger Equations of the Form (Formula Presented) for Suitable Localized Functions A, Such Equations Admit a Small-Data Modified Scattering Theory, Which Incorporates the Standard Logarithmic Phase Correction. in This Work, We Prove that the Small-Data Modified Scattering Behavior Uniquely Determines the Inhomogeneity A.

Recommended Citation

G. Chen and J. Murphy, "Recovery of the Nonlinearity from the Modified Scattering Map," International Mathematics Research Notices, vol. 2024, no. 8, pp. 6632 - 6655, Oxford University Press, Apr 2024.

The definitive version is available at https://doi.org/10.1093/imrn/rnad243

Department(s)

Mathematics and Statistics

Comments

National Science Foundation, Grant DMS-2137217

International Standard Serial Number (ISSN)

1687-0247; 1073-7928

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2024 Oxford University Press, All rights reserved.

Publication Date

01 Apr 2024